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Finding the Fourth Proportional to 10,238.60, 14,363.20 and 10,238.60

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Solution

The fourth proportional to 10,238.60, 14,363.20 and 10,238.60 is: 14,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.60 : 14,363.20 = 10,238.60 : x
  2. Step 2: Convert to fraction form
    10,238.60/14,363.20 = 10,238.60/x
  3. Step 3: Cross multiply
    10,238.60x = 14,363.20 × 10,238.60
  4. Step 4: Simplify right side
    10,238.60x = 147,059,059.52
  5. Step 5: Solve for x
    x = 147,059,059.52/10,238.60
  6. Step 6: Final answer
    x = 14,363.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.